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Finding the Third Proportional to 144,088 and 231,509

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Solution

The third proportional to 144,088 and 231,509 is: 371,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,088 : 231,509 = 231,509 : x
  2. Step 2: Convert to fraction form
    144,088/231,509 = 231,509/x
  3. Step 3: Cross multiply
    144,088x = 231,509 × 231,509
  4. Step 4: Simplify right side
    144,088x = 53,596,417,081
  5. Step 5: Solve for x
    x = 53,596,417,081/144,088
  6. Step 6: Final answer
    x = 371,970.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.